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maw [93]
3 years ago
13

The diagram shows a right-angled triangle.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
7 0

Answer:

h = 9.87 cm

Step-by-step explanation:

Given that,

Base, b = 8 cm

Height = h

Angle, \theta=51^{\circ}

We need to find the value of h. We can use trigonometry to find h.

\tan\theta=\dfrac{\text{Perpendicular}}{\text{Base}}\\\\\tan(51)=\dfrac{h}{8}\\\\h=\tan(51)\times 8\\\\h=9.87\ cm

So, the height of the triangle is 9.87 cm.

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find the mean, median, and mode of he data set. round to the nearest tenth. 7, 5, 4, 2, 1, 1, 2, 3, 5, 4, 5
SashulF [63]
Hello!

First you need to list the numbers from least to greatest

1, 1, 2, 2, 3, 4, 4, 5, 5, 5, 7

To find the mean you add all the numbers up and divide the sum by the amount of numbers added

1 + 1 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 7 = 39

39 / 10 = 3.9

The mean is 3.9
------------------------------------------------------------------------------------------------------
To find the median you find the number in the middle

The median is 4
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The mode is the number that appears the most

The mode is 5 

Hope this helps!
4 0
4 years ago
Read 2 more answers
The interest on an investment varies directly as the rate of interest. If the interest is $43 when the interest rate is 4%, find
Sonbull [250]

9514 1404 393

Answer:

  $86

Step-by-step explanation:

Since the interest varies directly, doubling the rate will double the interest.

The interest is $86 when the rate is 8%.

8 0
3 years ago
Simplify<br> -3c+5d+3c-d
Rina8888 [55]

Answer:

4d

-3x+3c+5d-d

=0+4d

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8 0
3 years ago
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The volume of this cylinder is 20,403.72 cubic yards. What is the radius? Use ​ ≈ 3.14 and round your answer to the nearest hund
MakcuM [25]
The formula for the volume of a cylinder is V=3.14r^2(h).
So substituting the volume: 20,403.72=3.14r^2(h).

To solve for ‘r’, divide both sides by 3.14h
r^2=6,498/h
Then find square root of both sides
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4 0
2 years ago
Answer These Math Questions.
larisa86 [58]
1.

558 can be rounded to 600.

44 can be rounded to 40.

600 x 40 = 24,000



2.

9 x 802 = 9 (800 +2) =7200 + 18 = 7218



3.

3699 x 7 = (3700-1) x 7 = 25,900 - 7 = 25,893



4.

34 x 93 = 34 x (100-7) = 3400 - 238 = 3162



5.

678 x 87 = 58,986
5 0
4 years ago
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